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Finding the Third Proportional to 49,235 and 118,700

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Solution

The third proportional to 49,235 and 118,700 is: 286,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235 : 118,700 = 118,700 : x
  2. Step 2: Convert to fraction form
    49,235/118,700 = 118,700/x
  3. Step 3: Cross multiply
    49,235x = 118,700 × 118,700
  4. Step 4: Simplify right side
    49,235x = 14,089,690,000
  5. Step 5: Solve for x
    x = 14,089,690,000/49,235
  6. Step 6: Final answer
    x = 286,172.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.